GATE Electrical 2024 | GA | Question: 4

Question

​​​​A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer?

• A. ₹ $2,500.00$
• B. ₹ $1,975.40$
• C. ₹ $2,250.00$
• D. ₹ $2,548.80$

Answer 1

Let $x$ be the price at which shopkeeper bought each shirt from the producer,

$\implies$ \[(1.2x)*1.18=3186\]

$\implies$ \[x=\frac{3186000}{12*118}=2250\]

Hence, Option C is the correct option.

Comments

CP=100/120 * 100/118 * 3186 = 2250

Answer 2

SP (with Tax)
             ₹3186
               │
               │ 18% Tax
               │  (× 1.18)
               ▼
       SP (before Tax)
             ₹2700
               │
               │ 20% Profit
               │  (× 1.20)
               ▼
             CP
           ₹2250

Answer 3

Option c is correct